Find the solution to the given system of linear equations using elimination-5y=3x-9 3x+4y-3=0

Mathematics

1 answer:

natulia [17]3 years ago

5 0

Answer:

y = -2/3

x = 2 1/9

Step-by-step explanation:

First let's write out the equation:

5y = 3x - 9

3x + 4y - 3 = 0

To find the answer using elimination, you must get subtract or add the opposite values in the equation so you are left with only one variable:

5y - 3x = - 9

4y + 3x = 3

Since we've aligned both positive 3x and negative 3x, let's now add all of the corresponding values of the equation:

9y + 0 = -6

9y = -6

Final steps to solve:

y = -6 ÷ 9

y = -2/3

No that we know the value of y, we must find the value of x as well. To do this, we will plug the value of y into one of our previous equations:

5y = 3x - 9

5 * (-2/3) = 3x - 9

-10/3 = 3x - 9

- 3 1/3 = 3x - 9

6 1/3 = 3x

x = 6 1/3 ÷ 3

x = 19/3 * 1/3

x = 19/9

x = 2 1/9

That's it! Here are the solutions:

y = -2/3

x = 2 1/9

You might be interested in

What is the sum of interior angles of a convex nonagon

zmey [24]

A nonagon has 9 sides, so n = 9

S = sum of the interior angles
S = 180*(n-2)
S = 180*(9-2)
S = 180*7
S = 1260

Answer is choice B

8 0

3 years ago

A farmer has a collapsable grain bag which can expand both vertically and horizontally as he needs it to. He wants to find a fun

bija089 [108]

Answer:

$3x^{3}+15x^{2}+x+5$

Step-by-step explanation:

We are told that the area of the bag can be represented by the function $f(x)=3x^{2} +1$ and as the bag is raised up its height can be represented by the function $g(x)=x +5$ .

Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.

$\text{Volume of collapsible bag}=f(x)*g(x)$